Details

sample16.0ms

Algorithm

intervals

Results

8.0ms

256×

body

valid

simplify50.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	36	8
1	152	8
2	501	8
3	2153	8
4	5001	8

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 19.8b

Counts

2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (+ x y) (+ x y))
0.0b	(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
19.6b	(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

60×	`frac-times` `flip3-+` `flip-+`
31×	`add-exp-log` `add-cbrt-cube`
30×	`associate-*l/`
27×	`*-un-lft-identity`
26×	`associate-/r/`
18×	`associate-*r/`
15×	`pow1`
13×	`prod-exp` `cbrt-unprod`
11×	`add-sqr-sqrt`
9×	`associate-r` `distribute-lft-out`
8×	`add-cube-cbrt`
6×	`cbrt-undiv` `swap-sqr` `div-exp`
5×	`associate-l`
4×	`pow-prod-down`
3×	`add-log-exp`
2×	`distribute-rgt-in` `distribute-lft-in` `*-commutative` `unswap-sqr`
1×	`pow2` `frac-2neg` `times-frac` `pow-plus` `clear-num` `associate-/r` `pow-sqr` `pow-prod-up` `div-inv` `associate-/l`

Counts

3 → 140

Calls

3 calls:

8.0ms	(* (+ x y) (+ x y))
19.0ms	(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
18.0ms	(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

series208.0ms

Counts

3 → 9

Calls

3 calls:

14.0ms	(* (+ x y) (+ x y))
39.0ms	(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
154.0ms	(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

simplify45.0ms

Algorithm

egg-herbie

Counts

149 → 149

Iterations

Useful iterations: 1 (25.0ms)

Iter	Nodes	Cost
0	916	1489
1	5001	1351

prune269.0ms

Filtered

149 candidates to 88 candidates (59.1%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	141	8	149
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	142	8	150

Merged error: 7.6b

Counts

150 → 8

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ x y) (+ x y))
0.0b	(/ y (+ (+ x y) 1.0))
0.1b	(* (/ x (* (+ x y) (+ x y))) (/ y (+ (+ x y) 1.0)))
20.5b	(/ x (* (+ x y) (+ x y)))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

80×	`*-un-lft-identity`
43×	`add-sqr-sqrt`
40×	`times-frac`
34×	`add-exp-log` `add-cbrt-cube`
31×	`add-cube-cbrt`
27×	`distribute-lft-out`
25×	`associate-r`
20×	`flip3-+` `associate-/r/` `flip-+`
19×	`associate-l`
13×	`pow1` `frac-times`
10×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod`
7×	`associate-r/` `associate-l/`
6×	`swap-sqr` `associate-/r` `associate-/l`
5×	`unswap-sqr`
4×	`div-inv` `add-log-exp`
2×	`frac-2neg` `pow-prod-down` `clear-num` `*-commutative`
1×	`pow2` `distribute-rgt-in` `distribute-lft-in` `pow-plus` `pow-sqr` `pow-prod-up`

Counts

4 → 170

Calls

4 calls:

11.0ms	(* (+ x y) (+ x y))
7.0ms	(/ y (+ (+ x y) 1.0))
23.0ms	(* (/ x (* (+ x y) (+ x y))) (/ y (+ (+ x y) 1.0)))
9.0ms	(/ x (* (+ x y) (+ x y)))

series280.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(* (+ x y) (+ x y))
49.0ms	(/ y (+ (+ x y) 1.0))
156.0ms	(* (/ x (* (+ x y) (+ x y))) (/ y (+ (+ x y) 1.0)))
60.0ms	(/ x (* (+ x y) (+ x y)))

simplify100.0ms

Algorithm

egg-herbie

Counts

182 → 182

Iterations

Useful iterations: 2 (84.0ms)

Iter	Nodes	Cost
0	661	1282
1	3591	1138
2	5001	1127

prune280.0ms

Filtered

182 candidates to 112 candidates (61.5%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	176	6	182
Fresh	6	1	7
Picked	1	0	1
Done	0	0	0
Total	183	7	190

Merged error: 0.0b

Counts

190 → 7

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ x (+ x y))
0.0b	(/ y (+ (+ x y) 1.0))
0.1b	(/ (/ x (+ x y)) (+ x y))
0.1b	(* (/ (/ x (+ x y)) (+ x y)) (/ y (+ (+ x y) 1.0)))

rewrite87.0ms

Algorithm

rewrite-expression-head

Rules

313×	`*-un-lft-identity`
303×	`times-frac`
163×	`add-sqr-sqrt`
142×	`add-cube-cbrt`
89×	`distribute-lft-out`
78×	`associate-l`
34×	`add-exp-log` `add-cbrt-cube`
28×	`associate-/r/`
24×	`associate-/l*`
21×	`associate-r`
14×	`cbrt-undiv` `flip3-+` `div-exp` `flip-+` `div-inv`
13×	`associate-/r*`
6×	`pow1` `prod-exp` `cbrt-unprod` `unswap-sqr`
4×	`add-log-exp`
3×	`frac-2neg` `clear-num`
1×	`frac-times` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative` `associate-/l/`

Counts

4 → 310

Calls

4 calls:

9.0ms	(/ x (+ x y))
7.0ms	(/ y (+ (+ x y) 1.0))
11.0ms	(/ (/ x (+ x y)) (+ x y))
41.0ms	(* (/ (/ x (+ x y)) (+ x y)) (/ y (+ (+ x y) 1.0)))

series323.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(/ x (+ x y))
46.0ms	(/ y (+ (+ x y) 1.0))
67.0ms	(/ (/ x (+ x y)) (+ x y))
166.0ms	(* (/ (/ x (+ x y)) (+ x y)) (/ y (+ (+ x y) 1.0)))

simplify119.0ms

Algorithm

egg-herbie

Counts

322 → 322

Iterations

Useful iterations: 2 (89.0ms)

Iter	Nodes	Cost
0	982	2745
1	4559	2543
2	5002	2535

prune463.0ms

Filtered

322 candidates to 194 candidates (60.2%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	317	5	322
Fresh	4	2	6
Picked	1	0	1
Done	0	0	0
Total	322	7	329

Merged error: 0b

Counts

329 → 7

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (+ x y))
0.0b	(/ y (+ (+ x y) 1.0))
0.0b	(* (/ x (+ x y)) (/ y (+ (+ x y) 1.0)))
0.2b	(* (/ 1 (+ x y)) (* (/ x (+ x y)) (/ y (+ (+ x y) 1.0))))

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

103×	`*-un-lft-identity`
99×	`add-exp-log`
70×	`times-frac`
61×	`add-cbrt-cube`
60×	`add-sqr-sqrt`
48×	`add-cube-cbrt`
40×	`prod-exp`
36×	`associate-l`
33×	`div-exp`
31×	`distribute-lft-out`
22×	`associate-r` `cbrt-unprod`
19×	`cbrt-undiv`
12×	`pow1`
10×	`associate-/r/`
9×	`associate-/r*`
6×	`frac-times` `rec-exp` `1-exp` `associate-r/` `associate-/l`
5×	`flip3-+` `flip-+` `div-inv`
4×	`pow-prod-down` `associate-*l/` `add-log-exp` `unswap-sqr`
2×	`frac-2neg` `clear-num` `*-commutative`
1×	`pow-flip` `inv-pow`

Counts

4 → 203

Calls

4 calls:

5.0ms	(/ 1 (+ x y))
10.0ms	(/ y (+ (+ x y) 1.0))
19.0ms	(* (/ x (+ x y)) (/ y (+ (+ x y) 1.0)))
21.0ms	(* (/ 1 (+ x y)) (* (/ x (+ x y)) (/ y (+ (+ x y) 1.0))))

series366.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(/ 1 (+ x y))
51.0ms	(/ y (+ (+ x y) 1.0))
120.0ms	(* (/ x (+ x y)) (/ y (+ (+ x y) 1.0)))
163.0ms	(* (/ 1 (+ x y)) (* (/ x (+ x y)) (/ y (+ (+ x y) 1.0))))

simplify113.0ms

Algorithm

egg-herbie

Counts

215 → 215

Iterations

Useful iterations: 2 (95.0ms)

Iter	Nodes	Cost
0	790	1700
1	4542	1421
2	5001	1394

prune260.0ms

Filtered

215 candidates to 119 candidates (55.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	215	0	215
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	215	7	222

Merged error: 0b

Counts

222 → 7

regimes55.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	9
1	17	9

end0.0ms

sample414.0ms

Algorithm

intervals

Results

279.0ms

8000×

body

valid

Details

sample16.0ms

simplify50.0ms

prune2.0ms

localize8.0ms

rewrite54.0ms

series208.0ms

simplify45.0ms

prune269.0ms

localize8.0ms

rewrite58.0ms

series280.0ms

simplify100.0ms

prune280.0ms

localize13.0ms

rewrite87.0ms

series323.0ms

simplify119.0ms

prune463.0ms

localize9.0ms

rewrite66.0ms

series366.0ms

simplify113.0ms

prune260.0ms

regimes55.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample414.0ms

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